Home / iGCSE Mathematics (0580) : C2.11 Construct tables of values for functions of the form \(ax+b,\pm x^2+ax+b,\frac{a}{x}(x\neq 0)\), where a and b are integer constants. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C2.11 Construct tables of values for functions of the form \(ax+b,\pm x^2+ax+b,\frac{a}{x}(x\neq 0)\), where a and b are integer constants. iGCSE Style Questions Paper 1

Question

The diagram shows two sides of a parallelogram ABCD.

Find the coordinates of point D.

▶️ Answer/Explanation
Solution

Ans: (–3, 7)

Question

The diagram shows the graph of \(y = (x + 1)^2\) for \(-4 \leq x \leq 2\)

(a) On the same grid, draw the line \(y = 3\)

(b) Use your graph to find the solutions of \((x + 1)^2 = 3\).
Give each solution correct to 1 decimal place.

▶️ Answer/Explanation
Solution

(a)

The line \(y = 3\) is a horizontal line intersecting the y-axis at 3.

(b) Ans: \(x = 0.7\) and \(x = -2.7\) (1 d.p.)

From the graph, the solutions are the x-coordinates where \(y = (x + 1)^2\) intersects \(y = 3\).

Algebraically, \((x + 1)^2 = 3\) leads to \(x + 1 = \pm \sqrt{3}\).

Thus, \(x = -1 \pm \sqrt{3} \approx -1 \pm 1.732\).

Solutions: \(x \approx 0.7\) and \(x \approx -2.7\) (correct to 1 decimal place).

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